Random variables and geometric series
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Due Jun 1, 2:59 AM EDT
Consider random variable X which distribution is defined in the following way. Variable X can take any non-negative integer value and P(X=k)=1/2k+2 for any k>0. Find P(X=0). Enter proper fraction.
Consider the following random variable Y. It takes only values of the form 1/2k for positive integer k and P(Y=1/2k)=1/2k for each k. Find expected value of this random variable. Enter answer as a proper fraction.